{
  "id": 2554,
  "curve_key": "246449641:-3848520099061",
  "ainvs": [
    "1",
    "0",
    "1",
    "-5134368",
    "4453877806"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    6,
    2
  ],
  "naive_height": 57.96800470328902,
  "faltings_height": 2.6687513563712257,
  "conductor": "62790",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "13",
    "23"
  ],
  "discriminant": "91209357028881000000",
  "regulator": "3.018098887366123434419712058901007942913",
  "points": [
    [
      "-2290",
      "65982"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Exact computational search in the full 2-torsion/3-torsion family with p=-23, q=3; A=(3q-p)(p+q)^3=-256000, B=-(p+3q)(p-q)^3=-246064. The listed points are independent modulo torsion by the exact 2-descent Kummer squareclass map. The rank is a proven lower bound; no upper bound is claimed.",
  "created_at": "2026-09-26 20:08:51",
  "updated_at": "2026-09-26 20:08:51"
}